According to my own experience, I strongly believe that advanced math studies would be an essential thing for any sweng to engage in.
I'm of the opinion that computer science is horribly misnamed. Imagine if we described astrophysics, optics, opticians (lens-grinders), and astrologers all with the same term. That's what we do for computer science.
There are a lot of astrologers in the field. I don't like that, but it's the reality. You can get good work as an astrologer. Someone will always be willing to hire you, and you don't need hardly any math.
But the more you want to climb out of the astrology ghetto, the more you'll need math. Computational theory, type theory, group theory, and statistics have all been quite useful in my career.
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